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UP Board X
List of top Questions asked in UP Board X
Which soil is formed due to leaching by heavy rainfall?
UP Board X - 2025
UP Board X
Social Science
Soil Formation
How many national political parties are there in India?
UP Board X - 2025
UP Board X
Social Science
Parties and the Party Systems in India
To whom is communalism harmful?
UP Board X - 2025
UP Board X
Social Science
Social Issues and Challenges
Where is NOT federal government in the following countries?
UP Board X - 2025
UP Board X
Social Science
Federalism
System of democratic government is better than other systems because this ............
UP Board X - 2025
UP Board X
Social Science
Outcomes of Democracy
In which state of India did printing press start first of all in 16\textsuperscript{th
century?}
UP Board X - 2025
UP Board X
Social Science
India and the World of Print
How many languages are mentioned in the Constitution besides Hindi?
UP Board X - 2025
UP Board X
Social Science
Languages
Where was Bretton Woods Institution organized?
UP Board X - 2025
UP Board X
Social Science
International Organizations
What was the first and main cause of the suspension of the Non Co-operation Movement?
UP Board X - 2025
UP Board X
Social Science
Khilafat and Non-Cooperation
The first main cause of economic depression was –
UP Board X - 2025
UP Board X
Social Science
Economic History
A toy is in the form of a hemisphere surmounting a cone whose radius is $3.5$ cm. If the total height of the toy is $15.5$ cm, find its total surface area and volume.
UP Board X - 2025
UP Board X
Mathematics
Surface Areas and Volumes
A spherical glass vessel has a cylindrical neck $8$ cm long, $2$ cm in diameter, and the diameter of the spherical part is $8.5$ cm. Find the volume of water that can be filled in it.
UP Board X - 2025
UP Board X
Mathematics
Surface Areas and Volumes
The shadow of a tower, when the angle of elevation of the sun is $30^\circ$, is $50$ m longer than when the angle of elevation was $60^\circ$ on the plane ground. Find the height of the tower.
UP Board X - 2025
UP Board X
Mathematics
Some Applications of Trigonometry
A bag contains 5 black, 7 red and 3 white balls. One ball is drawn at random. Find the probability of drawing the ball is (i) red (ii) black (iii) not black.
UP Board X - 2025
UP Board X
Mathematics
Basics of Probability
Prove that if a straight line is drawn parallel to one side of a triangle to intersect the other two sides in two distinct points, then the other two sides are divided by those points in the same ratio.
UP Board X - 2025
UP Board X
Mathematics
Triangles
Find two consecutive positive integers, sum of whose squares is $365$.
UP Board X - 2025
UP Board X
Mathematics
Quadratic Equations
Find the length of an arc of a circle of radius $14$ cm which subtends an angle of $30^\circ$ at the centre.
UP Board X - 2025
UP Board X
Mathematics
Areas of Sector and Segment of a Circle
Find the co-ordinates of the point which divides the line segment joining the points $A(3,4)$ and $B(-2,-1)$ in the ratio $3:2$.
UP Board X - 2025
UP Board X
Mathematics
Section Formula
Find the value of $x$ for which the distance between the points $(x,2)$ and $(6,5)$ is 5 units.
UP Board X - 2025
UP Board X
Mathematics
Distance Formula
The area of a rectangular field is $30 \, m^2$. If its length is $1 \, m$ greater than its breadth $x$, then the quadratic equation to find them will be:
UP Board X - 2025
UP Board X
Mathematics
Quadratic Equations
When a die is thrown once, the probability of getting an even number will be:
UP Board X - 2025
UP Board X
Mathematics
Basics of Probability
The mean and median of a frequency distribution are $26.1$ and $25.8$ respectively. The value of mode for the distribution will be:
UP Board X - 2025
UP Board X
Mathematics
Mean, median, mode and standard deviation
If $\tan 2A = 1$, where $2A$ is an acute angle, the value of $A$ will be:
UP Board X - 2025
UP Board X
Mathematics
Trigonometric Ratios of Some Specific Angles
The value of $(\sec A + \tan A)(1 - \sin A)$ will be:
UP Board X - 2025
UP Board X
Mathematics
Trigonometric Identities
Distance between two points $(2,3)$ and $(4,1)$ will be:
UP Board X - 2025
UP Board X
Mathematics
Distance Formula
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